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Finding the Third Proportional to 212,990 and 454,396

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Solution

The third proportional to 212,990 and 454,396 is: 969,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,990 : 454,396 = 454,396 : x
  2. Step 2: Convert to fraction form
    212,990/454,396 = 454,396/x
  3. Step 3: Cross multiply
    212,990x = 454,396 × 454,396
  4. Step 4: Simplify right side
    212,990x = 206,475,724,816
  5. Step 5: Solve for x
    x = 206,475,724,816/212,990
  6. Step 6: Final answer
    x = 969,415.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.